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What is the Least Common Multiple of 22146 and 22163?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 22146 and 22163 is 490821798.

LCM(22146,22163) = 490821798

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Least Common Multiple of 22146 and 22163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22146 and 22163, than apply into the LCM equation.

GCF(22146,22163) = 1
LCM(22146,22163) = ( 22146 × 22163) / 1
LCM(22146,22163) = 490821798 / 1
LCM(22146,22163) = 490821798

Least Common Multiple (LCM) of 22146 and 22163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22146 and 22163. First we will calculate the prime factors of 22146 and 22163.

Prime Factorization of 22146

Prime factors of 22146 are 2, 3, 3691. Prime factorization of 22146 in exponential form is:

22146 = 21 × 31 × 36911

Prime Factorization of 22163

Prime factors of 22163 are 37, 599. Prime factorization of 22163 in exponential form is:

22163 = 371 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 22146 and 22163.

LCM(22146,22163) = 21 × 31 × 36911 × 371 × 5991
LCM(22146,22163) = 490821798